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含有广义p-Laplacian边值问题与m增生映射
单调映射 增生映射 零点 广义p-Laplacian算子 非线性椭圆边值问题
2019/4/17
证明了m增生映射的一个值域扰动结论并用于讨论一类含有广义p-Laplacian算子的非线性椭圆边值问题在L2（Ω）中解的存在性.探究了非线性椭圆边值问题的解与m增生映射零点的关系.构造了迭代序列用以弱收敛或强收敛到非线性椭圆边值问题的解.本文采用了构造新算子和拆分方程的技巧，推广和补充了以往的相关研究成果.
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate non-local operator Green function Poisson kernel
2016/1/26
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian
Embedding Riemannian Manifolds Heat Kernel Connection Laplacian
2013/6/17
Given a class of closed Riemannian manifolds with prescribed geometric conditions, we introduce an embedding of the manifolds into $\ell^2$ based on the heat kernel of the Connection Laplacian associa...
Vector Diffusion Maps and the Connection Laplacian
Dimensionality reduction vector elds heat kernel parallel transport local prin-cipal component analysis alignment
2011/3/18
Abstract. We introduce vector di usion maps (VDM), a new mathematical framework for orga-nizing and analyzing massive high dimensional data sets, images and shapes. VDM is a mathematical and algorithm...
The Ornstein-Uhlenbeck process associated with the Levy Laplacian and its Dirichlet form
The Ornstein-Uhlenbeck process the Levy Laplacian Dirichlet form
2009/9/22
We prove the existence of an Omstein-Uhlenbeck type
process associated with the Evy Laplacian. Like the classical case, the
law of the Levy Brownian motion at time 1 is an invariant probability
of ...
Potential theory of Schrödinger operator based on fractional Laplacian
symmetric a-stable Gvy process Feynman-Kac semigroup Schrodinger operator q-harmonic functions
2009/9/22
We develop potential theory of Schrdinger operators
based on fractional Laplacian on Euclidean spaces of arbitrary dimension.
We focus on questions related to gaugeability and existence of
q-harmon...